230188140 has 432 divisors, whose sum is σ = 920844288. Its totient is φ = 45467136.

The previous prime is 230188139. The next prime is 230188141. The reversal of 230188140 is 41881032.

230188140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230188139) and next prime (230188141).

It is not an unprimeable number, because it can be changed into a prime (230188141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4897597 + ... + 4897643.

It is an arithmetic number, because the mean of its divisors is an integer number (2131584).

Almost surely, 2^230188140 is an apocalyptic number.

230188140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230188140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460422144).

230188140 is an abundant number, since it is smaller than the sum of its proper divisors (690656148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230188140 is a wasteful number, since it uses less digits than its factorization.

230188140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 230188140 is about 15171.9524122639. The cubic root of 230188140 is about 612.8595828317.

The spelling of 230188140 in words is "two hundred thirty million, one hundred eighty-eight thousand, one hundred forty".